Loyola College M.Sc. Statistics April 2009 Sampling Theory Question Paper PDF Download

November 20, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – STATISTICS

YB 38

SECOND SEMESTER – April 2009

ST 2813 / 2810 – SAMPLING THEORY

Date & Time: 24/04/2009 / 1:00 – 4:00 Dept. No. Max. : 100 Marks

SECTION – A

Answer ALL questions. Each carries TWO marks. (10 x 2 = 20 marks)

Define a parameter and a statistic. Give an example for both.
Give an example for an estimator which is unbiased under a sampling design.
Show that

(i) E _p [ I _i(s) ] = Π _i ; i = 1, 2, …, N,

(ii) E _p [ I _i(s) I _j(s)] = Π _ij ; i , j = 1, 2, …, N ; i ≠ j .

Prove that an unbiased estimator for the population total can be found if and only if the first order inclusion probabilities are positive for all N units in the population.
Prove that E _p ( s _y²) = S _y² under SRSWOR Design.
Define Midzuno Sampling Design. Verify whether or not this design is a probability sampling design.
Describe Random Group Method for selecting a sample and write the estimator for population total under this method.
List all possible Modified Systematic Samples of size 8 when the population size is 40.
Check whether _LR is more efficient than _R .
Prove that the Desraj ordered estimator is unbiased for the population total.

SECTION – B

Answer any FIVE questions. Each carries EIGHT marks. (5 x 8 = 40 marks)

Write the unit drawing mechanism for implementing SRSWOR Design and show that this mechanism implements the design.

If T( s, s′ ) is a statistic based on the sets s and s′ which are samples drawn in the first phase of randomization and the second phase of randomization respectively, then prove that

V( T( s, s′ ) ) = E₁ V₂ ( T( s, s′ ) ) + V₁ E₂ ( T( s, s′ ) ) ,

where E₂ is the expectation taken after fixing the subset s and E₁ is the

expectation with respect to the randomization involved in the first phase.

Check whether or not _LSS is more efficient than _SRS for population with linear trend.

Show that the usual expansion estimator is unbiased for the population total in CSS when there is a linear trend in the population.
Check whether the estimated variance v( _HT ) is non-negative under MSD for all “ s ” receiving positive probabilities.

Explain Simmon’s unrelated randomized response model and obtain the estimate of Π_Awhen Π_Yis unknown.

Derive the estimated variance of _DR.
Derive the formula for n _hunder Cost Optimum Allocation.

SECTION – C

Answer any TWO questions. Each carries TWENTY Marks (2 x 20 = 40 marks)

19 ( a ) Illustrate that an estimator can be unbiased under one design but biased under

another design. ( 10 )

( b ) Derive _HT and V (_HT) using the formula for Π _i and Π _ij under SRSWOR

Design. ( 10 )

20 ( a ) Describe Warner’s randomized response technique and explain the procedure

For estimating the proportion Π _A. ( 10 )

( b ) Deduce the expressions for _St, V (_St ) and v (_St ) when samples are

drawn independently from different strata using ( i ) SRSWOR, and

( ii ) PPSWR Designs. ( 10 )

Find the expressions for the approximate bias and MSE of the estimator _R

and deduce their expressions under ( i ) SRSWOR, (ii) PPSWOR, and ( iii ) Midzuno Sampling Designs. ( 20 )

22 ( a ) Verify whether or not the Hansen-Hurwitz estimator _dhhunder double

sampling is unbiased for Y and derive its variance. ( 10 )

( b ) Find the mean and variance of _TS, the estimator for population total, under

Two – Stage Sampling with SRS in both stages. ( 10 )

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Loyola College M.Sc. Statistics April 2009 Measure And Probability Theory Question Paper PDF Download

November 20, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – STATISTICS

YB 32

FIRST SEMESTER – April 2009

ST 1809 – MEASURE AND PROBABILITY THEORY

Date & Time: 25/04/2009 / 1:00 – 4:00 Dept. No. Max. : 100 Marks

SECTION A

Answer all questions. (10 x 2 = 20)

Define limit inferior of a sequence of sets.
Mention the difference between a field and a σ – field.
Give an example for counting measure.
Define Minimal σ – field.
Show that a Borel set need not be an interval.
Define Signed measure.
State Radon – Nikodym theorem.
Show that the Lebesgue measure of any interval is its length.
State Borel-Cantelli lemma.
Mention the various types of convergence.

SECTION B

Answer any FIVE questions. (5 x 8 = 40)

Let be an increasing sequence of real numbers and let. What is the connection between a.) and b.) and ?

Show that every finite measure is a σ – finite measure but the converse need not be true.

State and prove the order preservation property of integrals and hence show that if exists then.

Show that ifis finite, then is finite for.

State and prove Monotone convergence theorem for conditional expectation given a random object.

Show that the random variable X having the distribution function is neither discrete nor continuous.
State and prove Chebyshev’s inequality.

If e , show that

a.) a.e and

b.) a.e .

SECTION C

Answer any TWO questions. (2*20=40)

) Let andbe two increasing sequences of sets defined
on. If then show that.

b.) If exists, show that where ‘c’ is a constant.
(6+14)

State and prove basic integration theorem.

) State and prove Weak law of large numbers.

b.) State and prove Minkowski’s inequality. (10+10)

) Derive the defining equations of the conditional expectation given a random
object and given a -field.

b.) Let Y₁,Y₂,…,Yn be iid random variables from U(0,θ), θ > 0. Show that
where X_n = max{Y₁,Y₂,…,Y_n}. (10+10).

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Loyola College M.Sc. Statistics April 2009 Estimation Theory Question Paper PDF Download

November 20, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – STATISTICS

YB 36

SECOND SEMESTER – April 2009

ST 2811 / 2808 – ESTIMATION THEORY

Date & Time: 20/04/2009 / 1:00 – 4:00 Dept. No. Max. : 100 Marks

SECTION – A Answer all the questions (10 x 2 = 20)

01.Give an example of a parametric function for which unbiased estimator is unique.

02.State any two loss functions for simultaneous estimation problem.

03.Show that UMVUE of a parametric function is unique.

04.Define Fisher information for the multiparameter situation.

05.Define bounded completeness and give an example.

06.Given a random sample of size 2 from E(0, σ), σ>0, suggest two ancillary statistics.

07.Define a scale equivariant estimator and give an example.

08.Let X follow N( θ,1), θ = 0, 0.1. Find the MLE of θ .

09.If δ is consistent for θ, show that there exists infinitely many consistent estimators of θ.

10.Describe Conjugate family and give an example.

SECTION – B ‌‌ Answer any five questions (5 x 8 = 40)

‌11.Let X follow DU{1,2,…N}, N = 2,3. Find the class of unbiased estimators of zero.

Hence find the class of unbiased estimators of N and N².

12.State Cramer-Rao inequality for the multiparameter case. Hence find the Cramer- Rao

lower bound for estimating σ/μbased on a random sample from N(μ,σ²), μ ε R, σ > 0.

Discuss the importance of Fisher information in finding a sufficient statistic.
Let X₁,X₂,…,X_n be a random sample from U(0, θ), θ >0. Find a minimal sufficient

statistic and examine whether it is complete.

15.State and establish Basu’s theorem.

16.Given a random sample from N(0, τ²), τ > 0, find MREE of τ ² with respect

to standardized squared error loss. Is it unbiased ?

17.Find MREE of the location parameter with respect to absolute error loss based on a

random sample from E(ξ, 1), ξ ε R.

Let X₁,X₂,…,X_n be a random sample from P(θ), θ > 0. If the prior distribution is E(0,1),

find the Bayes estimator of θ with respect to the squared error loss.

SECTION – C Answer any two questions (2 x 20 = 40)

19 a) State and establish any two properties of Fisher information.

b) Let X have the pdf

P( X = x) = (1- θ)² θ^x , x = 0,1,… ; 0< θ < 1

= θ, x = -1.

Using Calculus approach examine whether UMVUE of the following parametric functions

exist: i) θ ii) (1 – θ)².

20 a) Show that an estimator δ is D – optimal if and only if each component of δ is a UMVUE.

b) Given a random sample from E(μ,σ), μ ε R, σ > 0, find UMRUE of (μ, μ + σ) with

respect to any loss function, convex in the second argument.

21 a) Show that the bias and the risk associated with a location equivariant estimator do not depend

on the parameter.

b) Show that a location equivariant estimator δ is an MREE if and only if E₀(δu) = 0 for each

invariant function u.
22 a) Given a random sample from N(μ,σ²), μ ε R, σ > 0, find the maximum likelihood

estimator of (μ,σ²). Examine whether it is consistent.

b) Stating the regularity conditions, show that the likelihood equation admits a solution which

is consistent.

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Loyola College M.Sc. Statistics April 2009 Applied Regression Analysis Question Paper PDF Download

November 20, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – STATISTICS

YB 34

FIRST SEMESTER – April 2009

ST 1811 – APPLIED REGRESSION ANALYSIS

Date & Time: 30/04/2009 / 1:00 – 4:00 Dept. No. Max. : 100 Marks

SECTION – A

Answer All questions. (10 x 2 = 20 marks)

What is a multiple linear regression model ?

2.Why do regressions have negative signs. Give reasons.

Explain BLUE.
Explain the co-efficient of determination
State any two ways in which ‘specification Error’ occurs.
What is multi collinearity?

7.What is the formula for finding the adjusted r-square?

What is Residuals ?
Why do we use Dummy variables in a model?
What are response and explanatory variables?

SECTION – B

Answer any Five questions. Each carries 8 marks. (5 x 8 = 40 marks)

What are the three components specified in a generalized linear model? Explain in detail.
Explain in detail categorical data analysis with examples. What are the two primary types of scales of categorical variables? Give example.
What is the form of logistic regression model? Also give link function for a logistic regression model?
Explain the four methods of scaling the Residuals ?
Write short notes on Residual Plot.
Estimate bo , b1, and s of simple linear regression model by MLE
Give an application scenario to illustrate the simple regression model .
Write a short note on detecting multi collinearity.

SECTION –C

Answer any TWO questions. Each carries 20 marks. (2 x 20 = 40 marks)

Give an illustration and explain the following in detail :

a)Binomial logit models for binary data

b)Poisson log linear model for count data (10+10 Marks)

a) Explain the procedure of standardizing the regression model using the

(i) Unit normal scale and (ii) Unit length scale (5+5 Marks)

b) Explain probit and complementary log-log model (10 Marks)
Explain the following methods for scaling the residuals.

(i) Standardized residuals

(ii) Studentized residuals

(iii) Press residuals

(iv) R Student residuals (5 Marks each)

a) Derive the procedure for testing the hypothesis that all of the regression slopes are zero.

(10 Marks)

b) Derive the least square estimates of the parameters of a simple regression model.(10 Marks)

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Loyola College M.Sc. Statistics April 2009 Applied Experimental Design Question Paper PDF Download

November 20, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – STATISTICS

AF 01

FOURTH SEMESTER – April 2009

ST 4805 – APPLIED EXPRIMENTAL DESIGN

Date & Time: 18/04/2009 / 9:00 – 12:00 Dept. No. Max. : 100 Marks

SECTION – A

Answer all the questions (10 x 2 = 20 marks)

What is meant by non statistical principle of experimental design?
Briefly explain the term Random effect model with an example .
When do we go in for factorial design ?
State the minimal function for 5² factorial design.
Define the “term irreducible polynomial”.
State the formula for a missing value in a LSD ?
Define the term Aliases with an example .
Distinguish between RLSD and LSD.
Give any two advantages of BIBD.

10.Write the homogeneous equation for the highest order interaction in the case of 2⁴

factorial design.

SECTION-B

Answer any Five questions (5 x 8 = 40 marks)

Explain the term “Effiency of LSD relative to RBD” with suitable illustration
Define linear contrast show that in 2⁵designs the main effects and interaction

effects are mutually orthogonal.

Describe, the analysis of variance for a 3³ factorial design, stating all the

hypothesis, ANOVA and conclusions.

14.Develop the analysis of variance for a 2⁴ fractional design in which the highest

order interaction is confounded in all the replications

If G (F) = pⁿ when p = 11 and n = 1 list the elements of the finite field

and explain all the operations with suitable example.

State clearly the model used in the case of Youden Square and construct a real life

example.

Derive the minimal function for 2³experiment and hence list the power cycle.
State and prove all the parametric conditions of a BIBD.

SECTION-C

Answer any Two questions (2 x 20 = 40 marks)

19.a) Discuss in detail the applications of the finite field with suitable illustrations.

b) Define the term key BLOCK in the case of 2⁵ factorial design of size 2³ in

which 2 independent interactions and 1 generalized interaction are Confounded

Discuss in detail using the required linear equations for the confounded effects.

(8 +12-Marks)

20.a) When do we go for Split plot design? Explain with an example.

b) Develop the Analysis of variance for the Split-plot design stating all the

hypothesis ANOVA and Inferences. (8 +12-Marks)

21 a) Distinguish between Lattice Square and Lattin square designs.

b) Explain the m-ple Lattice Square design and hence construct lattice square design

when the block size k=5. (8+12-Marks)

22 Write shorts on the following

Critical difference
PBIBD
Response surface design
Primitive root (5+5+5+5-Marks)

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Loyola College M.Sc. Statistics April 2009 Analysis Question Paper PDF Download

November 20, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – STATISTICS

YB 31

FIRST SEMESTER – April 2009

ST 1808 – ANALYSIS

Date & Time: 17/04/2009 / 1:00 – 4:00 Dept. No. Max. : 100 Marks

SECTION-A (10X2=20 marks)

Answer ALL the questions.

(1)Define a metric space and distinguish between bounded and unbounded metric spaces.

(2) Show that ρ (f, g) = ∫| f(x)- g(x)| . dx is a metric on the class of all bounded , continuous real

functions on [0,1].

(3) Examine if the set of all vectors (x₁, x₂, x₃) with x₁+x ₂= 1 is a vector space, where x₁, x₂, x₃Î R.

(4) Examine whether the set {1, ½, 1/3, 1/4…} is closed.

(5) Examine if the classes of closed and open sets are mutually exclusive and exhaustive.

(6) Show that the intersection of two open sets is open.

(7) Show that every convergent sequence in a metric space is a Cauchy sequence.

(8) If Ω:X → X is defined as Ω (x)=x² , where X=[0,1/3] , show that Ω is a contraction mapping on

[0,1/3].

(9) Prove that any continuous image of a compact space is compact.

(10)For any sequence (x_n) in R, show that

lim inf (-x_n) = – lim sup x_n.

SECTION-B (8 X 5=40 marks)

Answer any FIVE questions. Each question carries EIGHT marks.

(11) Let X and Y be two metric spaces with ρ₁ and ρ₂ as the respective metrics. Show that

ρ { (x ₁, x₂),(y₁, y₂ )} = max { ρ_i, (x_i, y_i) | i=1, 2}

is a metric on the Cartesian product XxY. Further, show that if X and Y are complete, then X×Y is

also complete.

(12) Show that (a) the union of any collection of open sets is open.

(b) The intersection of any collection of closed sets is closed.

(13) Let X and Y be two metric spaces and f a mapping of X into Y. Prove that f is continuous if and only

if f ^-1(G) is open in X, whenever G is open in Y.

(14) Let (X, ρ) be any metric space. Let a be a fixed point of X and let the function g: X → R be defined

by the equation g(x) =ρ (a, x) for all xЄ X. Show that g is continuous on X.

(15) State and prove Banach’s fixed point theorem.

(16) Define uniform convergence. Let (X, ρ) and (Y, σ ) be two metric spaces. Let f_n: X→ Y be a

sequence of functions converging uniformly to a function f: X →Y. If each f_n is continuous at c,

show that f is continuous at c.

(17) State and prove Cauchy’s necessary and sufficient condition for the uniform convergence of a

sequence of functions.

(18) State and prove Dini’s theorem for a sequence of real valued functions.

SECTION-C (2×20=40 marks).

Answer any TWO questions. Each question carries TWENTY marks.

(19)(a) Prove that, if V is an inner product space, then for all x,y Є V,

IIx+y II ²+ II x-yII² = 2[IIxII ²+ II yII²]. (4 marks)

(b) The sequences {x_n}, {y_n} in the normed vector space V converge to x, y respectively and the

numerical sequences { α_n}, { β_n } converge to α, β respectively. Show that

α_nx_n+ β_ny_n→ αx + βy.

Prove also that, if V possesses an inner product, then x_n. y_n → x. y (8marks)

λ .ρ(x, y) ≤ σ(x, y) ≤ μ. ρ(x, y) for all x, y Є X. Give an example to show that the converse is not

true. (8 marks)

(20)(a) State and establish the necessary and sufficient condition for a set F to be closed. (10 marks)

(b) Prove that the set of real numbers is complete. (10 marks)

(21) (a) Let (X, ρ) be a metric space and let E с X. Show that

(i) if E is compact, then E is bounded and closed. (6 marks)

(ii) if X is compact and E is closed , then E is compact. (6 marks)

(b) Show that a continuous function with compact domain is uniformly continuous.(8 marks)

(22)(a) State and prove the necessary and sufficient condition for a bounded real valued function

f Є R (g; a, b). (10 marks)

(b) If f₁, f₂Є R (g; a, b), prove that (f₁ + f₂) ЄR (g; a, b) and

b b b

∫ (f₁+f₂) dg = ∫ f₁dg + ∫ f₂dg (10marks)

a a a

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Loyola College M.Sc. Statistics April 2009 Advanced Operations Research Question Paper PDF Download

November 20, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – STATISTICS

YB 49

FOURTH SEMESTER – April 2009

ST 4807 – ADVANCED OPERATIONS RESEARCH

Date & Time: 23/04/2009 / 9:00 – 12:00 Dept. No. Max. : 100 Marks

SECTION -A

Answer all the questions 10 x 2 = 20 marks

When a solution to an LPP is called infeasible?
How dual simplex method differs from other simplex methods ?
Define holding and penalty costs.
Write basic components of a queuing model.
Write the significance of integer programming problem.
Define Dynamic Programming Problems.
Differentiate goal programming from other programming problems.
Write a note on complementary slackness condition.
Provide any two applications for parallel and sequence service systems.
For a single item static model if D = 100 , h = $0.02 , K = $100 and lead

time is 10 days,find the economic order quantity and re order point.

SECTION -B

Answer any five questions 5 x 8 = 40 marks

Use the graphical method to solve the following LPP:

Maximize Z = 2x₁ + 3x₂

Subject to the constraints: x₁+ x₂≤ 30 , x₁ – x₂≥ 0 , x₂ ≥ 3 , 0≤ x₁≤ 20 and 0 ≤ x₂ ≤ 12.

Write big M method algorithm.
Use duality to solve the following LPP:

Maximize Z = 2x₁ + x₂

Subject to the constraints:

x₁+ 2x₂ ≤ 10 , x₁ + x₂≤ 6 , x₁– x₂ ≤ 2 , x₁ – 2x₂ ≤ 1 ; x₁,x₂ ≥ 0 .

Write briefly about inventory management.
Derive the steady state measures of (M/M/1) : (GD/∞/∞) queuing model.
Write Beale’s algorithm to solve Quadratic Programming Problem.
Obtain the set of necessary and sufficient conditions for the following NLPP.

Minimize Z = 2x₁² – 24x₁+ 2x₂² – 8x₂ + 2x₃²– 12x₃ + 200

Subject to the constraints:

x₁ + x₂+ x₃ = 11 , x₁,x_2, x₃ ≥ 0 .

Solve the following NLPP using Kuhn- Tucker conditions :

Maximize Z = –x₁² – x₂² – x₃²+ 4x₁ + 6x₂

Subject to the constraints:

x₁+ x₂ ≤ 2 , 2x₁ + 3x₂ ≤ 12 ; x₁, x₂≥ 0

SECTION -C

Answer any two questions 2x 20 = 40 marks

19.(a) Use two-phase simplex method to

Maximize Z = 5x₁ + 8x₂

Subject to the constraints:

3x₁ + 2x₂ ≥ 3 , x₁ + 4x₂≥ 4 , x₁ + x₂ ≤ 5 ; x₁, x₂≥ 0

Use dynamic programming to solve:

Minimize Z = x₁² + 2x₂²+ 4x₃

Subject to the constraints:

x₁ + 2x₂+ x₃ ≥ 8 ; x₁,x₂ , x₃ ≥ 0.

(12 + 8 ) 20(a) Derive probabilistic EOQ model.

(b) Electro uses resin in its manufacturing process at the rate of 1000 gallons

Month. It cost Electro $100 to place an order for a new shipment .The holding

Cost per gallon per month is $2 and the shortage cost per gallon is $10.Historical

data show that the demand during lead time is uniform over the range(0, 100)

gallons. Determine the optimum ordering policy for Electro.

(10 + 10)

Use Wolfe’s method to solve the following QPP:

Maximize Z = 6x₁+ 3x₂ – 4x₁x₂ – 2x₁² – 3x₂²

Subject to the constraints:

x₁+ x₂ ≤ 1 , 2x₁ + 3x₂≤ 4 ; x₁, x₂≥ 0 .

Use cutting plane algorithm to solve the following LPP:

Maximize Z = 200x₁+ 400x₂+ 300x₃

Subject to the constraints:

30x₁ + 40x₂ + 20x₃ ≤ 600

20x₁+ 10x₂ + 20x₃ ≤ 400

10x₁+ 30x₂+ 20x₃ ≤ 800

x₁, x₂, x₃ ≥ 0 and are integers.

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Loyola College M.Sc. Statistics April 2009 Advanced Distribution Theory Question Paper PDF Download

November 20, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – STATISTICS

YB 33

FIRST SEMESTER – April 2009

ST 1810 – ADVANCED DISTRIBUTION THEORY

Date & Time: 28/04/2009 / 1:00 – 4:00 Dept. No. Max. : 100 Marks

SECTION – A Answer all the questions (10 x 2 = 20)

Find the mean of truncated binomial distribution, truncated at 0.
Show that Posson distribution is a power series distribution
Define lognormal distribution and show that the square of a lognormal variable is also lognormal.
Show that the geometric distribution satisfies lack of memory property.
Find the mean of X₁X₂ when (X₁, X₂) has a bivariate Poisson distribution.
Let (X₁, X₂) have a bivariate binomial distribution. Find the distribution of X₁+X₂.
Define bivariate lack of memory property..
State the MGF associated with the bivariate normal distribution. Hence find the marginal

distributions.

Let X_1, X₂, X₃, X₄ be independent standard normal variables. Examine whether

2X₁²+ 5 X₂² + X₃² +4 X₄² – 2 X₁X₂ + 4 X₂X₃ + 4 X₁X₄ is distributed as chi-square.

Let X be B( 2,q), q = 0.2, 0.3. If q is discrete uniform, find the mean of the compound

distribution.

SECTION – B Answer any five questions (5 x 8 = 40)

State and establish a characterization of geometric distribution based on order statistics. 12. Find the

conditional distributions associated with trinomial distribution.

If (X_1,X₂) is Bivariate Poisson, show that marginal distributions are Poisson.
Derive the MGF of inverse Gaussian distribution. Hence find the mean and the variance.
State and establish the relation between the mean, the median and the mode of lognormal

distribution.

If (X_1,X₂) is Bivariate exponential, show that min{X₁,X₂}is exponential
Find the mean and variance of non-central chi-square distribution.
Given a random sample from a normal distribution, show that the sample mean and the sample

variance are independent, using the theory of quadratic forms.

SECTION – C Answer any two questions (2 x 20 = 40)

19 a) State and establish the characterization of exponential distribution based on lack of memory

property.

b) If (X_1,X₂) is Bivariate normal, state and establish a necessary and sufficient condition for two

linear combinations of X₁and X₂ to be independent.

20 a) State and establish the additive property of bivariate Poisson distribution.

b) State and establish a characterization of Marshall-Olkin bivariate exponential distribution.

21 a) Define non-central t- variable and derive its pdf.

b) State and establish the additive property of non-central chi-square distribution.

22 a) Let X be distributed as multivariate normal with mean vector µ and the dispersion matrix Σ. Show that

(X – µ )^/Σ ^-1(X – µ ) is distributed as chi-square.

b) State and establish Cochran’s theorem on quadratic forms.

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M.Sc. DEGREE EXAMINATION – MEDICAL SOCIOLOGY

OL 41

SECOND SEMESTER – April 2009

MS 2808 – SOCIOLOGY OF SOCIALLY EXCLUDED

Date & Time: 27/04/2009 / 1:00 – 4:00 Dept. No. Max. : 100 Marks

PART-A

Answer ALL the following in 30 words each : (10 x 2 = 20 marks)

Was social exclusion practised in ancient India? Give an example to justify your position.
Define “Dalits”.
Give any one literary reference to ‘Teendacheri’in the Middle Ages.
What are the indicators of social exclusion in urban India?
Mention any one law that prevents the practice of untouchability.
Indicate any one incident of massacre of Dalits after Independence.
Mention any two common diseases prevalent among the lowest stratum of people in Indian

society

What are the main causes for the high mortality rate amongst the Scheduled Caste in India?
Is the demand for the implementation of reservation policy in private sector justifiable? Explain.
Suggest any one radical strategy to include the excluded Dalits in the mainstream society.

PART-B

Answer any FIVE of the following in 300 words : (5 x 8 = 40 marks)

How does Manusmriti exclude the Shudras from the society?
Highlight the characteristics of the caste system.
Delineate briefly on the practice of untouchability in the Middle Ages.
How are the Dalit women exploited in rural India?
Explain the ‘Keeripatti syndrome’.
How does the deprivation of human dignity due to the practice of untouchability affect the

health of its victims?

Can more education and employment opportunities to the Dalits help them to get well integrated

into the society? – Explian.

PART-C

Answer any TWO of the following in 1200 words : (2 x 20 = 40 marks)

What are the various categories of people excluded from the mainstream social life in India?

Discuss the reasons for their exclusion?

Based on your recent visit, discuss the various forms of exclusions of Dalits in rural area.
Critically evaluate the “positive discrimination” strategy of the Government to uplift the

downtrodden Dalits.

“The alienation of land and lack of education affect the general health of Dalits in rural

India”- Discuss.

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Loyola College M.Sc. Medical Sociology April 2009 Sociology Of Health Question Paper PDF Download

November 17, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – MEDICAL SOCIOLOGY

OL 30

FIRST SEMESTER – April 2009

MS 1807 / 1802 / SO 1805 / 1802 – SOCIOLOGY OF HEALTH

Date & Time: 30/04/2009 / 1:00 – 4:00 Dept. No. Max. : 100 Marks

PART-A

Answer ALL the following in 30 words each : (10 x 2 = 20 marks)

Who are the “Founding Fathers” of Medical Sociology?
Mention any one disease that is prominent among the Afro-Americans. What is the reason?
What do we mean by ‘Trepanation’?
What are the important aspects of sick role according to Parsons?
What is social epidemiology?
Define stigma.
Mention any two differences between primitive medicine and modern medicine.
State any two reasons for considering modern hospital as a health care centre?
Mention some institutions that care for and promote societal health.
Define “Aetiology”.

PART-B

Answer any FIVE of the following in 300 words each : (5 x 8 = 40 marks)

What could be the constructive role of Medical Sociologists in contemporary world?
Highlight the central argument of labeling theory.
What are the major criticisms of the sick role?
What are the different modes of transmission of HIV?
Discuss health and illness as social identities.
What are the characteristics of primitive and folk medicines?
What are the popular medicines used in seventeenth century?

PART-C

Answer any TWO of the following in 1200 words each : (2 x 20 = 40 marks)

Write an essay on gender and health.
Discuss the social and psychological factors that promote or deteriorate health.
What are the different models of health care?
Explicate the growth of hospital industry.

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Loyola College M.Sc. Medical Sociology April 2009 Sociological Theory Question Paper PDF Download

November 17, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – MEDICAL SOCIOLOGY

AF 01

FIRST SEMESTER – April 2009

MS 1801 / SO 1804 – SOCIOLOGICAL THEORY

Date & Time: 28/04/2009 / 1:00 – 4:00 Dept. No. Max. : 100 Marks

PART – A

Write a short note on the following in about 30 words each (10 x 2 = 20 Marks)

Objective Idealism
Materialism
Public Sphere
Military-Industrial Complex
Dysfunction
Role Distance
Metaphysics
Dialectics
Anomic Suicide
Monism.

PART – B

Answer any Five questions in about 300 words each (5 x 8 = 40 Marks)

Why does sociology rely on theoretical thinking?
What does Foucault mean by clinic?
Why has traditional theory ignored the ‘gendered’ nature of knowledge?
Briefly explain the AGIL model
Explain the law of three stages
Explain the theory of power-elite.
Why is there a ‘legitimation’ crisis?

PART – C

Answer any Two questions in about 1200 words each (2 x 20 = 40 Marks)

The rise of Post-modernism is due to the grand failure of the meta-narratives. Elucidate.
Critically evaluate Beck’s theory of risk society
Critically analyse Marxian Historical Materialism.
Examine in detail Durkheim’s study on suicide.

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Loyola College M.Sc. Medical Sociology April 2009 Quantitative Research Methods Question Paper PDF Download

November 17, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – MEDICAL SOCIOLOGY

OL 41

FOURTH SEMESTER – April 2009

MS 4800/MS 4802/S0 4802 – QUANTITATIVE RESEARCH METHODS

Date & Time: 18/04/2009 / 9:00 – 12:00 Dept. No. Max. : 100 Marks

Part – A

Answer all the questions in about 30 words each (10 x 2 = 20 Marks)

Snowball sampling
Extraneous variable
Semi-structured interview
Generalisation
Sampling error
Constructionism
Informant factual question
Structured interview
Independent variable
Epistemology

Part – B

Answer any Five questions in about 300 words each (5 x 8 = 40 Marks)

What are the advantages and limitations of a close ended questionnaire?
What is the relationship between epistemology and methodology?
What are the ways in which the term ‘diary’ is used in the context of social research?
What are the advantages and disadvantages associated with systematic review?
What are the general rules of data presentation?
What is probability sampling and why is it important?
What is the role of bibliography and what makes a good one?

Part – C

Answer any Two questions in about 1200 words each (2 x 20 = 40 Marks)

Examine in detail the major criticism of quantitative research.
Examine the types of interview. What are its advantages and disadvantages?
Critically evaluate the steps involved in report writing.
Examine in detail how tables and graphs are used in the presentation of grouped data.

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Loyola College M.Sc. Medical Sociology April 2009 Qualitative Research Methods Question Paper PDF Download

November 17, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

ZX 05

M.Sc. DEGREE EXAMINATION – MEDICAL SOCIOLOGY

FIRST SEMESTER – April 2009

MS 1804/SO 1807 – QUALITATIVE RESEARCH METHODS

Date & Time: 17/04/2009 / 1:00 – 4:00 Dept. No. Max. : 100 Marks

PART-A

Answer ALL the following in 30 words each : (10 x 2=20 marks)

Elucidate any two assumptions of Life History Method.
What is the principle characteristic of unobstrusive research?
What are the possible reasons for the errors in the research?
Distinguish ideographic method from nomothetic method of study.
What are the assumptions of interview technique of data collection?
What are the precautions a researcher has to take before finalizing the research topic?
What is the significance of Participant Observation?
Define “Content analysis”.
What is the significance of Physical Traces method of study?
What is the difference between the research methodology and methods?

PART-B

Answer any FIVE of the following in 300 words each : (5 x 8=40 marks)

Bring out the relationship between validity and reliability in research.
Discuss the process of constructing the theory.
Suggest some guidelines to make interview as an effective technique of data

collection.

What are the merits and demerits of Field Research?
What are the different steps in Participant Observation?
What are the different types of content analysis?
Explicate natural accretions and decretions in Physical Trace method of study.

PART-C

Answer any TWO of the following in 1200 words each : (2 x 20=40 marks)

How does theory and research guide and enrich each other?
Discuss the advantages and disadvantages of interview method of data collection.
What are the various steps in Participant Observation and evaluate the observer’s roles?
Critically evaluate the various sources for Life History Method of research.

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Loyola College M.Sc. Medical Sociology April 2009 Principles Of Sociology Question Paper PDF Download

November 17, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – MEDICAL SOCIOLOGY

OL 28

FIRST SEMESTER – April 2009

MS 1805 / 1800 – PRINCIPLES OF SOCIOLOGY

Date & Time: 25/04/2009 / 1:00 – 4:00 Dept. No. Max. : 100 Marks

SECTION – A

Answer the following questions in about 30 words each. (10 x 2 = 20 marks)

Define Community.
Define the term ‘society’.
What is an association?
Mention the characteristic features of culture.
Explain the concept of ethnocentrism.
What is meant by the term ‘socialization’?
Differentiate between associative and dissociative social processes.
Define social control.
Differentiate between primary and secondary groups.
What are the sources of social change?

PART – B

Answer any FIVE questions in about 300 words each. (5 x 8 = 40 marks)

Explain the important uses of the discipline of sociology.
Elucidate the concept of ‘sociological imagination’.
Briefly describe the process of socialization.
Delineate the importance of social group in social life.
Define deviance. Illustrate the factors facilitating deviance.
Explain with example the different associative social processes.
Elucidate the conflict theory of social change.

PART – C

Answer any TWO questions in about 1200 words each. (2 x 20 = 40 marks)

Define Sociology. Discuss the nature and scope of sociology.
Define culture. Elucidate the role of culture. Examine the growth of culture.
Outline the important goals of social control. Explain with example the formal and informal methods of social control.
What is social change? Discuss the factors of social change.

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Loyola College M.Sc. Medical Sociology April 2009 Organisational Behaviour Question Paper PDF Download

November 17, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – MEDICAL SOCIOLOGY

ZX 06

SECOND SEMESTER – April 2009

MS 2800 / SO 2803/ 2800 – ORGANISATIONAL BEHAVIOUR

Date & Time: 20/04/2009 / 1:00 – 4:00 Dept. No. Max. : 100 Marks

PART-A

Answer ALL the following in 30 words each : (10 x 2 = 20 marks)

1.“The organization is above all, social. It is people.” Who is the author of this statement?

2.What is the significance of Hawthorne experiment?

3.How do type A personalities differ from type B personalities?

4.What is idiosyncratic credit?

5.Mention any one factor that affects the organizational culture.

6.What are the indicators of power?

7.How does charistmatic leadership differ from traditional leadership?

8.Point out some criteria for group effectiveness.

9.Who are the three constituents of perceptual process?

10.Mention some agents of organizational change.

PART-B

Answer any FIVE of the following in 300 words each : (5×8=40 marks)

Highlight the principles of organization.
Expound the three determinants of personality traits.
What are the various types of groups in an organisation?
How is organizational culture created and maintained?
Discuss the bases of power.
Explicate the different approaches to organizational effectiveness.
What are the different kinds of change that can take place in an organisation?

PART-C

Answer any TWO of the following in 1200 words : (2×20=40 marks)

Illustrate the foundational experiment that paved the way for the emergence of the

discipline ‘Organisational Behaviour’.

Discuss the process of learning in an organization.
Delineate the process of decision-making. Suggest some ways to improve it in an

Organisational context.

Discuss the sources of resistance to change.

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Loyola College M.Sc. Medical Sociology April 2009 Medical Anthropology Question Paper PDF Download

November 17, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – MEDICAL SOCIOLOGY

OL 32

FIRST SEMESTER – April 2009

MS 1809 – MEDICAL ANTHROPOLOGY

Date & Time: 05/05/2009 / 9:00 – 12:00 Dept. No. Max. : 100 Marks

PART – A

Write a short note on the following in about 30 words each (10 x 2 = 20 Marks)

Ethnocentrism
Reification
Ethnomedicine
Syncretism
Illness narrative
Medical pluralism
Aetiology
Situated risk
Thick description
Meaning of medicine.

PART – B

Answer any Five questions in about 300 words each (5 x 8 = 40 Marks)

What is structural violence? List out its main characteristics.
Outline the different ways in which medical anthropology relates to biomedicine.
Explain the anthropological concept of culture.
How does rumour act as a tool to deal with uncertainty in the context of medical research?
Describe the main characteristics of medical systems.
What is the contribution of anthropology of medicine to public health?
Briefly examine how appropriation of non-biomedical medicines into scientific pharmaceutical frame takes place.

PART – C

Answer any Two questions in about 1200 words each (2 x 20 = 40 Marks)

Examine the four anthropological approaches to the study of illness representations.
Critically evaluate the link between culture, person and bodily practice.
Examine the distinction between illness and disease and its relevance to understanding how people deal with health and sickness.
Examine in detail the challenges of antiretroviral treatment and HIV.

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Loyola College M.Sc. Medical Sociology April 2009 Indian Social System And Health Question Paper PDF Download

November 17, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – MEDICAL SOCIOLOGY

ZX 04

FIRST SEMESTER – April 2009

SO 1806 – INDIAN SOCIAL SYSTEM AND HEALTH

Date & Time: 25/04/2009 / 1:00 – 4:00 Dept. No. Max. : 100 Marks

PART-A

Answer ALL the following in 30 words each: (10 x 2 = 20 marks)

What is ecological involution?
What is the rate of population increase in India according to the 2001 Census report?
In India, what is the average size of the household of a non scheduled population?
What are the reasons for the fertility decline in urban India?
Write a short note on kinship and kinship network.
Indicate some dreadful diseases that affect the Chennai slums?
What are the important reasons for the rise of middle class in Tribal India?
Mention some demands of Tribal movement.
What is the implication of introducing spectacles in pre-modern India?
How was smallpox treated in Pre-modern India?

PART-B

Answer any FIVE of the following in 300 words each : (5 x 8 = 40 marks)

Highlight any one approach that helps to understand better the health and diseases in

India.

Can urbanization and industrialization help India to progress? Explain.
What are the positive and negative impacts of globalization?
Explicate the health services available for Tribal India.
Illustrate the health problems and medicines among Indian tribes.
What were the major causes of death in Harappan civilization?
Explain the spread of Malaria in nineteenth century Bombay presidency.

PART-C

Answer any TWO of the following in 1200 words each : (2 x 20 = 40 marks)

Explain the social and cultural approaches to health and diseases in India.
Highlight the specific characteristics of Indian population.
What are the various types of pollution that affects the urban population?
Elucidate Gandhian perspective on food and health.

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